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130322130231100 = 225273101241733427
BaseRepresentation
bin11101101000011011111100…
…010001110101111100111100
3122002102200012022212112110211
4131220123330101311330330
5114040144210314343400
61141101054330442204
736310314606405253
oct3550337421657474
9562380168775424
10130322130231100
113858533a02a715
1212749375893364
13579442a2027a2
1424278a64a179a
15100ee9ea0cdba
hex7686fc475f3c

130322130231100 has 144 divisors (see below), whose sum is σ = 290713016363616. Its totient is φ = 50694405120000.

The previous prime is 130322130231077. The next prime is 130322130231109. The reversal of 130322130231100 is 1132031223031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130322130231109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177322587 + ... + 178056013.

It is an arithmetic number, because the mean of its divisors is an integer number (2018840391414).

Almost surely, 2130322130231100 is an apocalyptic number.

130322130231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130322130231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145356508181808).

130322130231100 is an abundant number, since it is smaller than the sum of its proper divisors (160390886132516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130322130231100 is a wasteful number, since it uses less digits than its factorization.

130322130231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733856 (or 733849 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 130322130231100 its reverse (1132031223031), we get a palindrome (131454161454131).

The spelling of 130322130231100 in words is "one hundred thirty trillion, three hundred twenty-two billion, one hundred thirty million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 101 146 202 241 292 365 404 482 505 730 964 1010 1205 1460 1825 2020 2410 2525 3650 4820 5050 6025 7300 7373 10100 12050 14746 17593 24100 24341 29492 35186 36865 48682 70372 73730 87965 97364 121705 147460 175930 184325 243410 351860 368650 439825 486820 608525 733427 737300 879650 1217050 1466854 1759300 1776893 2434100 2933708 3553786 3667135 7107572 7334270 8884465 14668540 17768930 18335675 35537860 36671350 44422325 53540171 73342700 74076127 88844650 107080342 148152254 176755907 177689300 214160684 267700855 296304508 353511814 370380635 535401710 707023628 740761270 883779535 1070803420 1338504275 1481522540 1767559070 1851903175 2677008550 3535118140 3703806350 4418897675 5354017100 5407557271 7407612700 8837795350 10815114542 12903181211 17675590700 17852346607 21630229084 25806362422 27037786355 35704693214 51612724844 54075572710 64515906055 71409386428 89261733035 108151145420 129031812110 135188931775 178523466070 258063624220 270377863550 322579530275 357046932140 446308665175 540755727100 645159060550 892617330350 1290318121100 1303221302311 1785234660700 2606442604622 5212885209244 6516106511555 13032213023110 26064426046220 32580532557775 65161065115550 130322130231100